IJPAM: Volume 29, No. 3 (2006)
ON THE SOLUTION OF A MODIFIED REYNOLDS
ELASTOHYDRODYNAMIC LUBRICATION EQUATION
ELASTOHYDRODYNAMIC LUBRICATION EQUATION
Khalid Ait Hadi
Department of Mathematics
Faculty of Sciences Semlalia
Cadi Ayyad University
B.P. 2390, Marrakech, MOROCCO
e-mail: k.aithadi@ucam.ac.ma
Department of Mathematics
Faculty of Sciences Semlalia
Cadi Ayyad University
B.P. 2390, Marrakech, MOROCCO
e-mail: k.aithadi@ucam.ac.ma
Abstract.In this work a modified Reynolds equation issued from a consistent derivation of the equations of motion for elastohydrodynamic lubrication is studied. The existence and the uniqueness of this equation are, under some hypotheses on the data, obtained by means of both fixed point argument and monotonicity techniques.
Received: May 19, 2006
AMS Subject Classification: 35Q35, 37C25, 35J65
Key Words and Phrases: modified Reynolds equation, elastohydrodynamic lubrication, fixed point, monotonicity
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 29
Issue: 3
